CO is a colorless, tasteless gas and a by product of incomplete combustion. Calculate the pressure in atm, occupied by this gas, at 42.5L, 65 degrees Celsius, 1.52 moles. Please include equation used, variable you solved for and answer with the correct units

Respuesta :

Answer:

[tex]P\text{ = 0.992 atm}[/tex]

Explanation:

Here, we want to get the pressure occupied by the gas under the given conditions

We can use the ideal gas equation here

Mathematically, we have this as:

[tex]PV\text{ = nRT}[/tex]

P is the pressure which we want to calculate

V is the volume occupied by the gas given as 42.5 L

n is the number of moles, given as 1.52 moles

R is the molar gas constant which is :

[tex]R\text{ = }0.082057LatmK^{-1}mol^{-1}[/tex]

T is the temperature which we have to convert to absolute temperature scale (Kelvin) by adding 273.15 K to the Celsius temperature

[tex]273.15\text{ + 65 = 338.15 K}[/tex]

Let us rewrite the equation in terms of the Pressure, which we want to calculate

We have this as:

[tex]P\text{ = }\frac{nRT}{V}[/tex]

Finally, we proceed to substitute the values given above:

[tex]\begin{gathered} P\text{ = }\frac{1.52\text{ }\times0.082057\times338.15}{42.5} \\ \\ P\text{ = 0.992 atm} \end{gathered}[/tex]

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